Answer
$\frac{25p^2}{9}$
Work Step by Step
Given.
$\frac{15p^3}{9p^2}\div\frac{6p}{10p^2}$
Simplify each rational expression.
$=\frac{5p}{3}\div\frac{3}{5p}$
Use the rule $\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$.
$=\frac{5p}{3}\times\frac{5p}{3}$
Multiply.
$=\frac{25p^2}{9}$
